AbstractIn this work, two general forms of Jordan’s inequalities for the Bessel and modified Bessel functions are established, and proved by using l’Hospital’s rule for monotonicity and some properties of the spherical Bessel and the modified spherical Bessel functions of the first kind. The applications of the results above give two new infinite series for the Bessel and modified Bessel functions
AbstractInequalities for Bessel functions, modified Bessel functions and of their ratios are obtaine...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
In this note our aim is to present some monotonicity properties of the product of modified Bessel fu...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by ...
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then...
In this volume we study the generalized Bessel functions of the first kind by using a number of clas...
In this volume we study the generalized Bessel functions of the first kind by using a number of clas...
AbstractWe establish some inequalities for the Bessel functions of the first kindJν(x) and for the m...
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonic...
AbstractIn this work, two general forms of Jordan’s inequalities for the Bessel and modified Bessel ...
In this paper we consider a sum of modified Bessel functions of the first kind of which particular c...
AbstractIn this paper, our aim is to show some mean value inequalities for the modified Bessel funct...
AbstractSome inequalities for the ratios Jv + 1(x)Jv(x) and Iv + 1(x)Iv(x) of Bessel and modified Be...
Abstract We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambd...
AbstractInequalities for Bessel functions, modified Bessel functions and of their ratios are obtaine...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
In this note our aim is to present some monotonicity properties of the product of modified Bessel fu...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by ...
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then...
In this volume we study the generalized Bessel functions of the first kind by using a number of clas...
In this volume we study the generalized Bessel functions of the first kind by using a number of clas...
AbstractWe establish some inequalities for the Bessel functions of the first kindJν(x) and for the m...
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonic...
AbstractIn this work, two general forms of Jordan’s inequalities for the Bessel and modified Bessel ...
In this paper we consider a sum of modified Bessel functions of the first kind of which particular c...
AbstractIn this paper, our aim is to show some mean value inequalities for the modified Bessel funct...
AbstractSome inequalities for the ratios Jv + 1(x)Jv(x) and Iv + 1(x)Iv(x) of Bessel and modified Be...
Abstract We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambd...
AbstractInequalities for Bessel functions, modified Bessel functions and of their ratios are obtaine...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
In this note our aim is to present some monotonicity properties of the product of modified Bessel fu...
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